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Finding the Third Proportional to 39,721 and 86,594

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Solution

The third proportional to 39,721 and 86,594 is: 188,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,721 : 86,594 = 86,594 : x
  2. Step 2: Convert to fraction form
    39,721/86,594 = 86,594/x
  3. Step 3: Cross multiply
    39,721x = 86,594 × 86,594
  4. Step 4: Simplify right side
    39,721x = 7,498,520,836
  5. Step 5: Solve for x
    x = 7,498,520,836/39,721
  6. Step 6: Final answer
    x = 188,779.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.